1. We are given two similar triangles. The smaller triangle has base length 8 feet and height 5 feet. The larger triangle has base length 24 feet and height equal to the tree's height, which we need to find. 2. Since the triangles are similar, the ratio of corresponding sides is equal. So, we set up the proportion: $$\frac{\text{height of boy}}{\text{base of smaller triangle}} = \frac{\text{height of tree}}{\text{base of larger triangle}}$$ 3. Substitute the known values: $$\frac{5}{8} = \frac{h}{24}$$ where $h$ is the height of the tree. 4. Solve for $h$ by cross-multiplying: $$5 \times 24 = 8 \times h$$ $$120 = 8h$$ $$h = \frac{120}{8} = 15$$ 5. Therefore, the height of the tree is 15 feet.